The Vibrational Oscillations Of Fadeev-Popov-Trace Eigenstates

 The following post, is for those people that may not be so familiar with my string theory model:

The multiplicity of the vibrational oscillations of Fadeev-Popov-Trace eigenstates, via the intercession of their directly corresponding light-cone-gauge eigenstates, works to help in forming a relatively strong influence, -- upon the general physical characteristics of the vibrational oscillations, of their directly corresponding superstrings/counter strings of discrete energy permittivity. SAMUEL DAVID ROACH.

A Little Bit As To Substringular Harmonics

The harmonics mode of the vibrational oscillation of a superstring -- during the generally noticed duration of instanton -- is related to the format of its spin. For example, if a superstring bears a harmonic mode during BRST, then, the said superstring will be said to have a whole spin. Yet, if a superstring bears an anharmonic mode during BRST, then, the said superstring will be said to have a fractional spin. Bosonic superstrings are closed strings. Closed superstrings that are not heterotic, are two-dimensional superstrings. Fermionic superstrings are open strings. Open strings are one-dimensional superstrings. Fermionic superstrinigs bear an anharmonic mode of vibrational oscillation, when in terms of the pulse of their spin-orbital indices during BRST. Fermionic strings are said to have a fractional spin. Bosonic superstrings bear a harmonic mode of vibrational oscillation, when in terms of the pulse of their spin-orbital indices during BRST. Bosonic strings are said to have a whole spin. During the generally unnoticed duration of Ultimon Flow, fermionic superstrings bear a harmonic mode of vibrational oscillation, when in terms of the pulse of their spin-orbital indices over the period of the said general format of duration mentioned here in this sentence. Also, during the generally unnoticed duration of Ultimon Flow, bosonic strings bear an anharmonic mode of vibrational oscillation, when in terms of the pulse of their spin-orbital indices. Superstrings, though, have more to do with the angular momentum of discrete energy, while, their directly corresponding Fadeev-Popov-Trace eigenstates have more to do with the spin-orbital momentum of discrete energy. Superstrings are discrete quanta of energy permittivity, while Fadeev-Popov-Trace eigenstates are discrete quanta of energy impedance.  Yet, to some extent, every physical phenomenon bears at least some sort of angular momentum, and every physical phenomenon bears at least some sort of spin-orbital momentum. Both superstrings and Fadeev-Popov-Trace eigenstates have more to do with the pointal-based nature of discrete energy than of the wave-based nature of discrete energy.  However -- the directly corresponding counterstrings of discrete energy have more to do with the wave-functionability of energy permittivity, while the directly corresponding first-ordered light-cone-gauge eigenstates, when taken individually, have more to do with the wave-functionability of discrete energy impedance.  The drive of a phenomenon through a directoral-based Lagrangian, is the general operation of a tense of angular momentum. The shaking-like wave-tug/wave-pull of a phenomenon through a directoral-based Lagrangian -- is the general operation of a tense of spin-orbital momentum. The angular momentum of superstrings, and, the spin-orbital momentum of Fadeev-Popov-Traces -- works to relate the basis as to how the various spaces and sub-spaces of the substringular inter-relate, while, the spin-orbital momentum of superstrings and the angular momentum of Fadeev-Popov-Traces -- works to relate the basis as to the covariant-based parity that exists among the various spaces and subspaces in the substringular. Again, superstrings are discrete units of energy permittivity, while, Fadeev-Popov-Traces are discrete units of energy impedance. Hold onto your hats, and, I will continue with the suspense later! Sam Roach.

As To The Fractals Of Voltage And Current

You probably know the fact that voltage is energy per charge.  You probably also know that current is charge per time.  Voltage is more related to the condition of magnetism than current is.  A magnetic field of any given arbitrary case scenario is more related to permittivity than the electric field of the same respective given arbitrary case scenario is.  An electric field of any given arbitrary case scenario is more related to impedance than the magnetic field of the same respective given arbitrary case scenario is.  Superstrings act as discrete quanta of energy permittivity.  Fadeev-Popov-Trace eigenstates act as discrete quanta of energy impedance.  Superstrings act as the basis of the particle-based nature of discrete energy permittivity.  Fadeev-Popov-Trace eigenstates act as the basis of the particle-based nature of discrete energy impedance.  The correlative counterstrings -- that are directly corresponding to the respective superstrings of any given arbitrary case -- act as the basis of the wave-based nature of discrete energy permittivity.  The correlative light-cone-gauge eigenstates that are directly corresponding to the respective Fadeev-Popov-Trace eigenstates of any given arbitrary case -- act as the basis of the wave-based nature of discrete energy impedance.  The discrete energy quanta of any given arbitrary specific case are of a lower scalar amplitude than the discrete quanta of charge.  Therefore, one is able to have a definitive quantity of discrete energy before one is to have any discrete charge at all.  Superstrings are the key to the basis of discrete energy.  Yet -- current requires the existence of at least a certain amount of charge, in order to be of any tangible extrapolation or consideration.  This works to indicate --  that the functional basis of superstrings, is more related to energy per charge than to charge per time.  The magnetic field is more of a direct correspondence to the voltage of any respective given arbitrary case scenario, than to the correlative current of the same said case.  This is why superstrings are here said to be of the nature of the discrete quanta of energy permittivity.  The electric field is more of a direct correspondence to the current of any respective given arbitrary case scenario, than to the correlative voltage of the same said case.  This is why Fadeev-Popov-Trace eigenstates are here said to be of the nature of the discrete quanta of energy impedance.  I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

An Interim In-Between Parts to Session 11 of Course 19 -- The Klein Bottle and Orbifold Differentiation

The overall degrees of freedom that exist in two spatial parameters of dimensionality is 2pi.  The overall degrees of freedom that exist in three spatial parameters of dimensionality is 4pi.  The overall degrees of freedom that exist in four spatial parameters of dimensionality is 4piI. ... The overall degrees of freedom that exist in 96 spatial parameters of dimensionality is 96piI.  On account of this so-stated set of conditions -- if the relative tense of a Njenhuis basis of orphoganation, in a comparison of two different distinct substringular phenomena -- that are here to be extrapolated, in terms of the correlative degree of the wobbling of their respective given arbitrary correlative Fadeev-Popov-Trace eigenstates, that work to comprise the said two different distinct phenomena, is of a higher scalar amplitude -- the more of a tendency that there will then be, of the two respective distinct different substringular entities, that are here being compared, to be of more of a relatively remote nature -- over any respective given arbitrary time period, in which the two so-eluded-to physical phenomena that are here to be compared, in a Fourier-based manner.  This is given as a comparison -- in terms of their relative covariant, codifferentiable, and codeterminable Ward-Caucy conditions, in the process of the said comparison of the so-mentioned Fourier Transformations -- that are of the two said distinct and differing so-stated substringular physical phenomena, that are here to be contrasted.
I will continue with the suspense later!  To Be Continued!  Sincerely, Sam Roach.

Part Two of the Very Next Addendum

The prior mentioned linear-based segments are subtended from the point to where these so-stated segments are directly connected to the correlative Fadeev-Popov-Trace eigenstate -- to the point to where these so-stated segments are directly connected to the correlative superstring of discrete energy permittivity, in any individual case scenario where there is a light-cone-gauge eigenstate that is of the said Kaluza-Klein topology.  The eluded-to supplemental delineation of the said mini-string segments that work to form the said eluded-to first-ordered light-cone-gauge topology that is of a Kaluza-Klein nature are barely "tractable", when this is considered over the course of any individual iteration of BRST -- where light-cone-gauge topology is metrically functionable.  Yet, such a light-cone-gauge distribution curves as according to the general local curvature of space-time-fabric at the Poincaire level of the delineation of the main core-field-density -- that exists directly in-between the so-stated Fadeev-Popov-Trace eigenstate and its corresponding superstring of discrete energy permttivity (in an individual case), to where such a linear-based delineation of the eluded-to mini-string segments that work to form the physical framework of the holonomic substrate of the Ward-Neumman sub-Hamiltonian operation, that exists here during the so-stated given arbitrary iteration of BRST -- is not positioned or delineated as a Wilson-based linearity, at any fret of what may be taken as a snapshot of such an individual basis of the said core-field-density operators, of which is  over the course of the gauge-metrics that happen during the so-stated duration of BRST.  Yet, the activity that I call the "Imaginary Exchange of Real Residue" works to form a sub-group metrical delineation, that would here work to average a morphological index of distributary delineation -- that works to form a sub-Sterling-based approximaation of a Wilson-based linearity, when among those eluded-to indices of main-core-field-density that are comprised of as the so-eluded to mini-string segments that are "plucked" in so as to refurbish the activity of the Rarita Structure.  I will continue with the suspense later!
Sincerely, Samuel David Roach.

Part One of the Seventh Session of Course 16

Topology is the description of the surface of superstrings and/or the surface of Fadeev-Popov-Trace eigenstates and/or the surface of mini-stringular phenomena.  Superstrings are comprised of first-ordered point particles that come together to form either one dimensional phenomena that act as open strands or two-dimensional phenomena that act as closed loops.  First-Ordered-Point-Particles are individually comprised of a "ball" of mini-string that may be compared -- allagorically, to a "ball of yarn."  It is mini-string segments that work to form the holonomic substrate of the core field density of the substringular.  So, when one is to consider the "topography" of superstrings, and/or the "topography" of Fadeev-Popov-Trace eigenstates, and/or the "topography" of mini-string segments, and/or the "topography" of light-cone-gauge eigenstates, respectively, one is to then be considering here the "topographical" condition of the said given arbitrary topology of the just eluded to substringular phenomena.  Homotopy is the format of the conditionality of superstrings that appertains to the manner as to how the various substringular phenomena are interconnected as a whole in the multiverse by core field density eigenstates -- that act as mini-string segments that inter-bind in one manner or another, for all substringular phenomena that are unfrayed by the various activities of the given existent black-hole-like phenomenology that exist at any given arbitrary group metric that may here be considered.  A very important manner of considering as to what the genus of any given arbitrary topology that is to be considered at any given arbitrary instant under consideration is the genus of the directly corresponding light-cone-gauge eigenstate that would then here be correlative to whatever the so eluded to substringular scenario is being considered -- at the eluded to instant under consideration.  It is the general activity of the phenomenology of the light-cone-gauge that works to form both the template of those vibrations that work to activate the various Rarita Structure gauge-metrics, as well as to form the means of that "spring-like" activity that works to pull both superstrings of discrete energy permittivity and Fadeev-Popov-Trace eigenstates of discrete energy impedance into the generally unnoticed portion of Ultimon Flow -- in so that the eluded to substringular phenomena may be "primed" to move into their ensuing distribution-based delineations, in so that the sequential series of group instantons may move in the multiplicit genus of direction that it is encoded to go into.  There are two different formats of light-cone-gauge topology -- there is the non-abelian genus of a light-cone-gauge, that is known of as a Yang-Mills topology, and, there is the abelian genus of a light-cone-gauge, that is known of as a Kaluza-Klein topology.  In both respective topological formats of light-cone-gauge genus, there is that general genus of light-cone-gauge that appertains to the light-cone-gauge structural-basis for one-dimensional superstrings, and, there is that general genus of light-cone-gauge that appertains to the light-cone-gauge structural-basis for two-dimensional superstrings.  In different respective cases, there are one-dimensional superstrings that may be either of a Yang-Mills light-cone-gauge topology, or, of a Kaluza-Klein light-cone-gauge topology -- given what the scenario calls for, and, there are two-dimensional superstrings that may be either of a Yang-Mills light-cone-gauge topology, or, of a Kaluza-Klein light-cone-gauge topology -- given what the scenario calls for.  It is the combined conditionality as to what both the light-cone-gauge topology is, and the format of both the hermitian and/or the Chern-Simmons genus of a substringular setting, that works to help define as to whether any given phenomenon is of either a state of electromagnetic energy, a state of plain kinetic energy, a state of mass, a state of discrete units of entropy-based eigenstates, the general condition steady-state eigenstates that exist in worm-holes, or, the general condition of perturbative-based eigenstates that exist in  worm-holes.  I will then here end with these just stated general descriptions as to what the topological formats of the various conditions that appertain to light-cone-gauge eigenstates are -- until I commence with a further elaboration.  I will continue with the suspense later!  Sincerely, Samuel David Roach.

The Last Part of this Session of Course 16

Often, Planck-like phenomena, or, in other words, Fadeev-Popov-Trace eigenstates, kinematically differentiate over time in a radial manner -- in accordance to Noether Flow.  Often, Planck-like phenomena, or, in other words, Fadeev-Popov-Trace eigenstates, kinematically differentiate over time in a transversel manner -- in accordance to Noether Flow.  Yet, often, Planck-like phenomena, or, in other words, Fadeev-Popov-Trace eigenstates, kinematically differentiate over time in both a radial and in a transversal manner -- in accordance to Noether Flow.  And often, the same homotopically-based Planck-like phenomenon that I have just described in general will kinematically alter from moving in just a radial manner, to moving in just a transversal manner, to moving in both a radial and a transversal manner, over the kinematic course of its time-wise differentiation -- in accordance to Noether Flow.  The previous so-stated condition often involves multiple tenses of conformal invariance, that the eluded to Fadeev-Popov-Trace eigenstates that behave as such will undergo.  Likewise, superstrings of discrete energy permittivity may often kinematically differentiate in either both a radial manner, a transversal manner, and/or both a radial and a transversal manner, over time -- in accordance to Noether Flow.  Again, the readjustments that occur -- in order for the so-stated superstrings of discrete energy permittivity to be able to go from kimatically differentiating in just a radial manner, to kinematically differentiating in just a transversal manner, to kinematically differentiating in both a radial manner and in a transversal manner over time -- will then here elude to the condition of a changing pretense of different settings of conformal invariance, that the so-stated eluded to superstring of discrete energy permittivity will be moved into over time.  Yet, when any given arbitrary Fadeev-Popov-Trace eigenstate is to kinematically move in either a radial manner, a transversal manner, and/or both a radial manner and a transversal manner at the same time, the directly corresponding superstring of discrete energy permittivity will tend to move in a respective manner that is isometrically chiral to the eluded to motion of its directly corresponding Fadeev-Popov-Trace eigenstate.  So, when changes in Gaussian-based norm-conditions call for at least a partial kinematic topological sway that works to bear a Noether-based transversal motion, the Poincaire eigenstates that would here be directly corresponding between any given Fadeev-Popov-Trace eigenstate and its correlative superstring of discrete energy permittivity would then bear a certain degree of Yau-Exact isosymmetry -- that would here be chiral to at least one photon of transversal light propagation, in the process of that substringular juggling that is then here involved with the recycling of substringular norm-state conditions.

Part Three To The Current Session of Course 16

The exception to Noether Flow is tachyonic flow.  Tachyonic flow happens by a means of potential propulsion.  Over the course of any given case of tachyonic propulsion, both superstrings of discrete energy permittivity and their directly affiliated Fadeev-Popov-Trace eigenstates travel in such a manner that these said discrete units of energy move faster than light-speed in the globally distinguishable.  Superstrings, in this case, are phenomena that act as discrete units of energy permittivity, while, the so-stated Fadeev-Popov-Trace eigenstates (Planck-related phenomena) act as discrete units of energy impedance.  Since motion that is of Noether Flow is appertaining to most of the kinematic differentiation that exists in the substringular, relativistic speed, time, length, and mass, act -- via the multiplicit motion of substringular phenomena over a sequential series of iterations of group instanton -- as according to their multivarious relationships to the speed of light, via the principle of Lorentz-Four-Contractions.  The directly associated current of that juggling of kinematics, that is related to the correspondence of Noether Flow to the speed of light -- which is a correlation that exists between most kinematic activity and both the motion and the existence of light -- may be termed of as the multiplicit condition of the Noether Current. The laws and principles that would then here be directly associated with the just eluded to juggling of substringular phenomena, over the course of the general condition of Noether Flow, may then be thought of as the physical state of Noether's Theorem.  This is a further manner of the application as to why all motion is related -- in general -- to both the existence and the kinematic differentiation of electromagnetic energy, as such eluded to motion that moves at light speed is in a vacuum (and that moves as is according to how light-speed is altered in any other medium as is according to Snell's Law), in so as to cause the eluded to conditionality of Lorentz-Four-Contractions to correlate to all other kinematic-based differentiation over the course of the sequential series of iterations of group instanton, over the history of space-time phenomenology.  This works to explain the influence the all motion -- that is here caused to behave as is according to the said multiplicit working of Lorentz-Four-Contractions -- to bear the multivarious topological shifts and sways, when such motion moves in conformity to the relativistic correlations to both the existence and the motion of both the vector-based and the tensor-based activities of the various inter-binding electromagnetic energy that exists along the cohomological bearings of space-time-fabric.  This works to explain part of as to why light-speed electromotive-based force is moved in a propagatorial manner instead of head-strong in a "slung-out" manner.  I will continue with the suspense later!  Sincerely, Sam Roach.

Still Some More Ghost Anomaly Stuff

The ghost anomalies of both light-cone-gauge eigenstates, Fadeev-Popov-Trace eigenstates, and counterstrings, comingle with the ghosts of superstrings of discrete units of energy permittivity (Gliossi-Sherk-Olive ghosts) during each succeeding iteration of instanton in which the ghost-based indices -- as to the physical memory of the substringular -- works to bear a Real Reimmanian-based residue that is effectual to the sequential series of Real-based substringular iterations of group instanton.  I will continue with the suspense later!  Sincerely, Samuel David Roach.